Research

Current Research

I work on reconciling the fundamental concepts and principles of quantum theory and space-time theory, Einstein and Heisenberg, by quantizing the infrastructure of present quantum field theory, a process of "infra-quantization". I model the field system as a quantum simplicial complex in the form of a truss dome composed of spins. This quantizes both space-time and the imaginary I of quantum theory. It invokes an organizational symmetry-rearrangement to recover the canonical quantum theory, which assumes that they are classical.

Quantum simplices are represented in a typed exterior algebra. Physical theories today are based on Lie algebras. Taken modulo isomorphism these form a (moduli) space of rich structure, a rugged landscape. Its peaks and ridges are singular groups without useful finite representations. They are flanked by regular Lie algebras with useful finite-dimensional representations, including simple Lie algebras. Early theorists built their castles on the peaks, mainly for ideological reasons. As a result these theories proved to be infested with infinities. Heisenberg's quantization moved theories from peaks to adjacent ridges, rendering them less singular. Infraquantization moves them to the valley, specifically to finite-dimensional matrix algebras. The main question now under study is how to compute the excitation spectrum of a quantum truss dome and align it with the particle spectrum. This would also fix the quantum of time

Questions under study:

Q1. How big is a chronon? The Planck-length estimate for tav is too non-operational to be trusted?

Q2. How do space-time and field theory emerge as a self-organization of a simple quantum dynamics in the limit as the chronon size goes to zero?

Q3. How do we account for the details of the particles of nature as quantum excitations in the dynamic relative to its vacuum value?

Q4. What are the experimental high-energy-physics consequences of the general-quantization already carried out?